Don't play if you can't win': does economic inequality undermine political equality?

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European Political Science Review (2019), 11, 395–413
        doi:10.1017/S1755773919000201

        RESEARCH ARTICLE

        ‘Don’t play if you can’t win’: does economic inequality
        undermine political equality?
        Armin Schäfer1 and Hanna Schwander2,*
        1
         Institute of Political Science, University of Münster, Germany and 2Hertie School of Governance, Berlin, Germany
        *E-mail: schwander@hertie-school.org

        (Received 21 September 2018; revised 17 July 2019; accepted 15 August 2019; first published online 25 September 2019)

            Abstract
            In this paper, we investigate whether income inequality negatively affects voter turnout. Despite some
            progress, the answer to this question is still debated due to methodological disagreements and differences
            in the selection of countries and time periods. We contribute to this debate by triangulating data and
            methods. More specifically, we use three kinds of data to resolve the question: first, we use cross-sectional
            aggregate data of 21 OECD countries in the time period from 1980 to 2014 to study the relationship
            between inequality and electoral participation. Second, we zoom in on the German case and examine local
            data from 402 administrative districts between 1998 and 2017. Focusing on within-country variation
            eliminates differences that are linked to features of the political system. Finally, we combine survey data
            with macro-data to investigate the impact of inequality on individual voting. This final step also allows
            us to test whether the effect of income inequality on voter turnout differs across income groups.
            Taken together, we offer the most comprehensive analysis of the impact of social inequality on political
            inequality to date. We corroborate accounts that argue that economic inequality exacerbates participatory
            inequality.

        Keywords: economic inequality; electoral turnout; democracy; methods triangulation; developed countries

        Introduction
        The promise of democracy rests on the premise that citizens participate in the democratic process
        and that they participate equally. However, in many countries, increasingly fewer citizens are
        making use of their democratic right to elect their representatives and governments. Declining
        turnout rates and a growing ‘participation gap’ (Dalton, 2017) between the rich and the poor
        are causing concern about a broken promise of democracy (Schlozman et al., 2012). Declining
        participation at first seems puzzling as studies taking a traditional socioeconomic resource
        approach on democratic participation unanimously show that individuals with more resources
        are more likely to vote (Brady et al., 1995; Verba, 1996; Gallego, 2015). Considering the increasing
        resources at the disposal of citizens across the world, one would therefore expect more rather than
        less participation in politics.
            Existing studies in comparative political economy, however, suggest that it is not primarily
        individual resources that determine voter turnout but their distribution. In most rich democracies,
        this distribution has grown more unequal (Alderson and Nielsen, 2002; Piketty, 2014; Alvaredo
        et al., 2017). Regarding the implication of this rising inequality on electoral participation, the
        literature has advanced arguments for both a negative and a positive relationship between
        economic inequality and political participation. The proponents of the conflict perspective argue
        © European Consortium for Political Research 2019. This is an Open Access article, distributed under the terms of the Creative Commons
        Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any
        medium, provided the original work is properly cited.

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396        Armin Schäfer and Hanna Schwander

            that a widening income gap between the rich and the poor should incentivize the poor even more
            to use their voting power to ‘soak the rich’ (Shapiro, 2002) while the rich should be drawn
            to the polls to prevent this from happening. Implicitly or explicitly, the theoretical workhorse
            of these studies is the Meltzer–Richard (1981) model that leads us to assume that it is rational
            to participate if the stakes are high – and they are particularly high in unequal countries
            (Brady, 2004). Advocates of the relative power approach or the rational abstention approach,
            by contrast, maintain that in the context of high inequality the rich do not need to resort
            to voting to influence political outcomes as they have other means to influence politics.
            As the poor learn from experience that the system is biased against them, they give up on
            participating.
                Although both theoretical arguments seem plausible, the empirical evidence is tilted toward a
            depressing effect of inequality on political engagement with a substantial number of null findings.
            What makes their empirical assessment difficult is the fact that these studies not only use an array
            of different methods but also cover different time periods and countries (Cancela and Geys, 2016:
            267). We build on these arguments and attempt to clarify the relationship between economic
            inequality and political participation from a multi-empirical perspective in the rich democracies
            of the ‘global north.’ Hence, the main purpose of this article is to resolve this question by
            triangulating data and methods. More specifically, we use three kinds of data. First, we use
            cross-sectional aggregate data from 21 OECD countries for the period 1980–2014 to study the
            relationship between inequality and voter turnout. Second, we zoom in on the German case
            and examine local data from 402 communities from 1998 to 2017. Focusing on within-country
            variation eliminates differences linked to features of a country’s political system, political culture
            or other idiosyncratic features. Third, we combine survey data with macro-data to investigate the
            impact of inequality on individual voting behavior. This final step allows us to test whether the
            effect of income inequality on political participation varies across different income groups.
                We focus on rich democracies and the period since 1980. Studies of the global distribution of
            income and wealth have suggested a ‘new geography of inequality,’ in which differences between
            countries decrease while within-country inequality increases (Firebaugh, 2009). Lakner and
            Milanovic (2016) as well as Alvaredo et al. (2017) suggest an ‘elephant curve’ of inequality with
            two sets of winners. In relatively poor countries, the middle class has benefitted from high growth
            rates whereas in rich countries, the poor and middle classes have experienced stagnating incomes
            with the rich receiving a disproportionate share in income growth. Given these patterns, we would
            not expect to find relationships between inequality and turnout to be the same across regions with
            different growth and inequality trajectories. Hence, we focus on a relatively homogeneous set of
            rich democracies during a period with rising income inequality to assess the relationship between
            inequality and turnout.
                For this group of countries, we find strong and consistent evidence that voter turnout is lower
            in more unequal societies. Moving from the most egalitarian to the most unequal countries sees a
            depression of turnout – all else being equal – by 7–15 percentage points (depending on the exact
            model), which is comparable in magnitude to the effect of compulsory voting. Within Germany,
            where institutional variables do not differ, relatively deprived regions have significantly lower
            levels of turnout. Finally, we find that turnout declines for all income groups in unequal countries
            but is particularly strong for low-income groups. Our results are, therefore, in line with the
            rational abstention perspective, which argues that inequality reduces electoral participation,
            particularly among the poor.
                This article is structured as follows. The next section discusses the two main theoretical
            approaches on the possible impact of income inequality on voter turnout and the concomitant
            contradictory findings that existing studies produce. The ‘Analyses’ section introduces the three
            datasets, the methodologies employed in this study, and the three steps of our analysis. The final
            part of the article discusses the results and addresses unresolved questions and outlines venues for
            further research.
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‘Don’t play if you can’t win’              397

        Literature review on the inequality–participation nexus
        Our argument builds on recent studies suggesting that it is not only resources that determine voter
        turnout but also their distribution. There is general agreement that the gap between rich and poor
        has been widening in most democratic countries (Alderson and Nielsen, 2002; Piketty, 2014;
        Alvaredo et al., 2017) but studies on the relationship between economic inequality and voter
        turnout are still rare. Theoretically, it is not evident why higher inequality should depress turnout.
        From a conflict perspective, a widening income gap between the rich and the poor might
        incentivize the poor even more to use their voting power to ‘soak the rich’ (Shapiro, 2002).
        Yet, increasing evidence based on a variety of studies on the country, regional, or individual level
        of analysis accumulates for the alternative view that posits that experience teaches the poor that
        politics is systematically biased against them. ‘Don’t play if you can’t win’ is the phrase Goodin
        and Dryzek (1980: 292) coined for rational nonparticipation by the least well-off (see also
        Pateman, 1971; Offe, 2013). Accordingly, the argument has been called the relative power
        approach or rational abstention approach. High levels of income inequality signal to poorer
        citizens that their concerns are likely to be neglected, whereas the better-off learn that they get
        what they want and have other, possibly more effective, means – lobbying, donations, direct con-
        tact to decisions-makers – to get their voices heard. Under these circumstances, both groups are
        less likely to participate because the poor have given up, while for the rich voting is just one way
        among many to influence political decisions. In egalitarian countries, in contrast, the odds of
        having an impact are more equally distributed and thus more citizens will participate. The rational
        abstention approach, therefore, predicts lower turnout rates in more unequal countries. Further
        evidence for the mechanisms that the rational abstention proclaims is provided by the responsive-
        ness literature that finds that political decision-makers are much more responsive toward the rich
        – and the poor get what they want only if their interests are aligned with those of higher income
        groups (Gilens, 2005; Bartels, 2008: chapter 8; Rosset et al., 2013). The poor also possess relatively
        fewer resources to invest in politics, while the rich find it easier to dominate the political agenda
        (Schattschneider, 1960; Gilens, 2005). Therefore, when income and wealth are unequally distrib-
        uted, the less affluent are likely to find that the issues being debated are not those that interest
        them and so give up discussing politics (Solt, 2008: 58). Given this pattern, abstention seems
        to be a rational choice for the less well-off, although one that might exacerbate existing biases.
            In a seminal early study on the question and based on country aggregated data, Goodin and
        Dryzek (1980: 283) regress GDP per capita as an indicator of absolute levels of resources, and the
        Gini index as an indicator of the distribution of resources on voter turnout for 38 countries using
        data from the 1950s to the 1970s. They find a significant negative effect of inequality on turnout.
        However, they do not include any institutional variables that might account for different turnout
        rates across countries. In a more encompassing cross-national study, Fumagalli and Narciso
        (2012) analyze 85 countries for the 1990s with institutional, regional, and economic control
        variables.
            Other studies that examine the relationship between inequality and turnout on the macro-level,
        however, do not find a significant impact of income inequality on turnout. Lister (2007) studies
        turnout in 15 rich democracies for 1963–93, with regression models including both institutional
        and economic variables. Although Lister finds a negative impact of income inequality on turnout,
        Arzheimer (2008) criticizes the statistical model and is unable to confirm the findings using the
        same dataset. Finally, Stockemer and Scruggs (2012) analyze 550 democratic elections in Western
        and non-Western countries. They ascertain that the Gini index has no significant impact on voter
        turnout, neither as a whole nor for each separate group.1

           1
            However, Stockemer and Scruggs include a time variable in their models that shows a significant negative effect on turn-
        out. If inequality rises over time and actually leads to a turnout decline, including a time trend may capture a good deal of what
        is actually an effect of inequality. Unfortunately, they do not offer a model without the time trend.

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398        Armin Schäfer and Hanna Schwander

                Mixed evidence for the relative abstention approach is also provided at the subnational level.
            Mahler (2002) analyzes 184 regions in 11 countries for the late 1980s and early 1990s. Although
            inequality has a negative impact on turnout, it fails to reach statistical significance. Focusing on
            the United States, a couple of studies investigate turnout variations across states. Boix (2003:
            127–128) looks at turnout rates in the US states for the 1920 presidential election and interacts
            the percentage of farming population with a measure of wage inequality. Jointly, these two variables
            have a significant negative impact on voter participation. In unequal rural states, fewer citizens vote.
            Looking at more recent elections, Galbraith and Hale (2008) find in cross-sectional analyses a nega-
            tive but not always significant effect of inequality on turnout in the US states. Their supplementary
            analyses of changes taking place between 1980 and 2004 show a significant negative effect of inequal-
            ity on turnout. Rising income disparities, they conclude, depress turnout. Their results are confirmed
            by studies of Italian (Solt, 2004; Scervini and Segatti, 2012) and European regions (Mahler, 2002).
                A third empirical approach takes a multilevel perspective and examines the interaction between
            micro-and macro-level factors that shape relationships between income inequality and political
            participation but again fails to provide definite findings. Solt (2008, 2010) runs a series of multi-
            level models for a set of 23 countries and the US states and finds that higher levels of income
            inequality lead to lower and more unequal turnout. Anderson and Beramendi (2008) employ
            an instrumental variable approach and, based on a sample of 18 OECD countries, conclude:

                As inequality goes up, so do the odds of abstention from electoral participation. These effects
                are unambiguous, and the inference does not depend on what kind of inequality we consider
                (Beramendi and Anderson, 2008: 295).

            However, using survey data from US states for 1980–2004, Wichowsky (2012) finds no relation-
            ship between turnout differences and the level of income inequality. Similarly, Gallego (2015:
            chapter 6) analyzes 85 elections in 36 democracies from roughly the late 1990s through to
            2007. She finds a negative effect of gross and net income inequality on voter turnout (though
            not always significant) but no evidence that higher net inequality leads to more unequal turnout.
            Based on a mediation analysis, Gallego suggests political attitudes are the mechanisms linking
            economic and electoral inequality.2 For Europe, findings are equally inconclusive. Using cross-
            sectional data from the European Election Study 2009, Horn (2011) applies various measures
            of income inequality to assess an individual’s propensity to vote. While the coefficients are mostly
            negatively signed, only some reach significance and substantial effects seem limited. In a cross-
            sectional multilevel analysis of 23 OECD countries, Jaime-Castillo (2009) finds that inequality
            generally suppresses turnout, but inequalities in the upper half of the income distribution are more
            relevant to turnout than inequalities in the middle and lower classes (see also Horn, 2011). Finally,
            Jensen and Jespersen (2017) find a negative effect of being poor on electoral participation with the
            relationship being conditioned by inequality and national wealth.
                In conclusion, the relationship between economic and participatory inequality is tested by very
            different empirical setups, which produce inconclusive findings. As our review of existing studies on
            the subject reveals, summarizing the findings into a coherent model is further aggravated by the vast
            variance in the geographical and temporal scope of the studies and a variety of explanatory variables.
            We conclude that studies linking income inequality and voter turnout have so far failed to produce
            consistent results. One key reason is possibly the broad range of empirical strategies with authors
            not only analyzing different countries and different periods but also using different types of data,
            different methods, and different explanatory variables. In this article, we make a systematic effort to
            resolve the question of how political and economic inequality are related in rich democracies.

               2
                This ties in well with evidence from social psychology that sees lower political efficacy and feelings of misrepresentation
            as two of the main drivers of political abstention among the disadvantaged (Jahoda, 1982; Rosenstone, 1982; Adman, 2008).

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‘Don’t play if you can’t win’              399

        Analyses
        To shed light on the effect of inequality on turnout, we use three datasets, each analyzing
        the nature of the relationship between economic and electoral inequality from a different perspec-
        tive. The study starts with a time-series cross-sectional analysis – the most common approach –
        complementing it in a second part with an in-depth analysis of subnational data in a single country
        and, in a third part, studying individual participation decisions in a cross-national setting.
            First, we examine 21 OECD countries from 1980 to 2014. The countries differ widely in their
        electoral institutions and socioeconomic profiles but are among the most prosperous democracies
        in the world but differ considerably in the degree of income inequality.3 Rather than unsystemati-
        cally selecting explanatory variables, the dataset allows to control for the set of institutional, electoral,
        and economic variables that have frequently been found to influence voter turnout (Blais, 2006;
        Geys, 2006; Cancela and Geys, 2016). Among the institutional variables, compulsory voting
        increases turnout, while majoritarian electoral systems exhibit lower turnout rates (Jackman,
        1987; Jackman and Miller, 1995; Bowler et al., 2001). Majoritarian electoral systems tend to produce
        safe seats with limited competitiveness for local electorate races, giving voters little incentive to turn
        out (Selb, 2009). In contrast, proportional representation systems are designed to ensure every vote
        counts, making local races always competitive (Powell, 1980; Blais and Carty, 1990; Selb, 2009). In
        majoritarian systems, parties also tend to converge toward the median with such ideological indis-
        tinctiveness reducing voter motivation to turn out (Cox, 1999; but see Heath, 2016 who finds ideo-
        logical distinctiveness of parties to be less important for turnout than descriptive representation).
        Other important institutional variables include the political system structure (presidentialism vs.
        parliamentarianism, or the degree of bicameralism). These ‘rules of the political game’ determine
        the importance of each election and matter for voter turnout (Tavits, 2009; Stockemer and
        Calca, 2014). For specific elections, we take into account the closeness of the electoral race and
        the effective number of parties (Jackman and Miller, 1995; Blais and Dobrzynska, 1998). Finally,
        population size and GDP per capita are socioeconomic variables that require controlling.
            Second, we study the relationship between inequality and turnout in a longitudinal single-country
        perspective. Examining the link between economic inequality and participation in electoral politics in
        a single polity eliminates variations in institutional and political factors that might influence voter
        turnout in addition to the factors we are able control for. Germany demands closer examination
        as it exhibited both an equalitarian income structure and exceptionally high levels of political partici-
        pation for most of the postwar period, with both inequality and participation having converged to
        average European levels since (Schäfer, 2015). Furthermore, relying on an original dataset that com-
        bines information on the socioeconomic situation and the electoral outcome of subnational units (the
        level of administrative districts) avoids the problems of individual-level data (overreporting of par-
        ticipation combined with underrepresentation of disadvantaged segments of the population, see
        Tourangeau et al., 2010; Selb and Munzert, 2013; Schäfer et al., 2016) but contains a sufficient number
        of observations to draw inferences from the analysis about the relationship between economic and
        political inequality. As there are no significant institutional differences within Germany, we focus on
        election-specific and socioeconomic control variables such as population size, average income at
        district level, and the closeness of the electoral race. We also control for differences in political
        socialization and political culture in the former GDR and FRG with an East–West Dummy.
            Third, we combine election surveys from the same 21 OECD countries used in the first step
        with macro-data to examine the impact of income inequality on individual choices to vote or
        abstain, again controlling for institutional differences between countries. This final step allows
        us to assess whether inequality affects electoral participation of different income groups equally.
        In all analyses, we employ a range of statistical approaches to test the empirical robustness of our
        findings as rigidly as possible.
           3
           The countries are Australia, Austria, Belgium, Canada, Denmark, Finland, France, Germany, Greece, Ireland, Italy, Japan,
        Luxembourg, Norway, the Netherlands, New Zealand, Portugal, Spain, Sweden, the United Kingdom, and the United States.

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400                    Armin Schäfer and Hanna Schwander

                                                        1980s                         1990s                          2000–present
                   Voter turnout   100

                                   75

                                   50
                                              30    35          40   45     30     35        40       45    30        35         40         45
                                                                                 Theil index
                                                        1980s                         1990s                          2000–present
                                   100
                   Voter turnout

                                   75

                                   50
                                         10        20           30   4010         20          30     4010           20          30          40
                                                                                 Gini coefficient

            Figure 1. Income inequality and voter turnout.
            Note: See Appendix 1 for data sources.

            Time-series cross-sectional analyses of 21 countries from 1980 to 2014
            This section analyzes voter turnout in 21 countries over roughly three decades. Voter turnout
            is measured as the share of actual voters to all registered voters in parliamentary elections. We
            perform the analyses using two different measures of income inequality: the Gini coefficient
            and the Theil index. The Gini coefficient is calculated from the dispersion of individual (or house-
            hold) incomes, while the Theil index uses the income share of geographical units to calculate
            income inequality.4 Descriptive statistics and the data sources can be found in Appendix 1.
                Figure 1 shows the correlation between the two measures of income inequality and voter turn-
            out over time. Despite considerable country variation, visual examination suggests a negative
            relationship. In fact, most correlations are statistically significant but only moderately strong.
            For a more reliable picture, multivariate analyses are used to control for institutional and political
            factors that have been shown to be relevant for aggregated turnout. In the methods literature, there
            is an ongoing discussion about the best way to analyze time-series cross-sectional data. It is espe-
            cially disputed whether or not to include a lagged dependent variable (LDV) to de-trend the data.
            Beck and Katz (1995) recommend using panel-corrected standard errors and to also include
            a LDV. Others, however, point out that a LDV may ‘falsely dominate’ a regression (Achen,
            2001). This is particularly the case with the kind of data we use. Both the dependent variable
            and the main independent variable of interest change slowly over time.5 Usually, turnout of elec-
            tion t1 is similar to that in election t0, and inequality in 1 year will very much resemble that of the
            previous year. Also, differences between units (countries or regions) are likely to have an impact

               4
                See http://utip.lbj.utexas.edu/tutorials.html for more details on calculating different measures of income inequality.
               5
                Due to this inertia, using a difference-in-difference approach does not seem appropriate. Also, the initial level of the
            dependent variable – voter turnout in 1980 – could be a function of income inequality and institutional differences of
            the time. If we limit the analyses to changes in inequality, the inequality and turnout effect would be lost. The insignificant
            effect of inequality on participation in the model including a lagged dependent variable – the most dynamic model in the
            analysis – supports our suspicion that a focus on yearly changes is not well suited to study the inequality–participation nexus.

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‘Don’t play if you can’t win’              401

        Figure 2. Regression coefficients of income inequality on voter turnout based on the models in Appendix 1.
        Note: This figure shows the regression coefficients for our two measures of income inequality and six regression models with 95% confi-
        dence intervals. For more details, see Appendix 1.

        on both the level and the rate of change of our dependent variable.6 This article does not debate the
        most feasible approach in any detail but performs different specifications to check the robustness
        of the results. We use several models that have been used the most in previous analyses. However,
        a number of tests indicate that a random effects model best suits the structure of our data because
        it allows including variables that are time-invariant as well as time-variant.7
            As Figure 2 visualizes, all our models confirm that income inequality negatively affects voter
        turnout at the macro-level.8 In all models, the effect is significant at the 90% level and, in all but
        one model, the effect reaches the most conventional level of 95%. The exception is a model with
        panel-corrected standard errors, which also included a LDV.
            Regarding the control variables, the empirical results are generally in line with expectations
        from the literature. Compulsory voting strongly increases turnout rates. In countries such as
        Australia, Belgium, or Luxembourg, turnout usually exceeds 90%. In contrast, fewer citizens vote
        in parliamentary elections than in presidential systems such as in France or the United States.
        After controlling for other factors, turnout is higher in countries with second chambers, such
        as Germany. Turning to election-specific variables, the results are less unequivocal. Higher
        disproportionality seems to diminish turnout but the coefficient is not consistently statistically
        significant. The evidence for the effective number of parties is inconclusive, whereas most models
        show a significant negative effect regarding the distance between the first and the second party –
        meaning turnout is higher in close races. All else being equal, more populous and richer countries
        seem to have lower turnout rates. Finally, the time trend confirms that average turnout rates have
        declined since the 1980s. In particular, turnout is significantly lower in the most recent decade
        than in the past.9
            To assess the robustness of our results, we performed several tests (available from the authors).
        First, we reran the regression analysis (using model MLM)10 and excluded each country in turn.
        In the resulting 42 regressions, the effect of income inequality is always negative and in 37 out of
        42 cases statistically significant. Second, we excluded each year in turn. Again, the coefficient is

           6
            For example, in countries with compulsory voting, rising income inequality will have little impact on voter turnout.
           7
            We ran a Hausman test that confirms that a random effects model is more appropriate than a fixed effects model. In
        addition, a Breusch–Pagan Lagrange multiplier test shows that the variance across entities is not zero, which means that
        we cannot run a simple OLS regression.
           8
            The regression coefficients are reported in tables 3 and 4 of the supplementary file.
           9
            If we run the analyses separately for each decade, the general pattern is confirmed. There is always a negative effect of
        income inequality on voter turnout.
           10
             See regression tables 1 and 2 in the online supplementary file

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402                         Armin Schäfer and Hanna Schwander

                                        90                                                             90
                                                                        RE                                                                    RE
                                                                        PCSE                                                                  PCSE
                                                                        DRIS                                                                  DRIS
                                        85                                                             85
                    Predicted turnout

                                                                                   Predicted turnout
                                        80                                                             80

                                        75                                                             75

                                        70                                                             70

                                             30       35           40       45                              15   20     25       30      35      40
                                                       Theil index                                                    Gini coefficient

            Figure 3. Substantial effects of inequality on turnout.
            Note: This figure shows the estimated substantial effects of income inequality on aggregate voter turnout. The estimates are based on
            the regression models detailed in Appendix 1.

            always negative and in all cases p is smaller than 0.1 and in 25 out of 34 cases smaller than 0.05.
            Third, we replicated our analyses taking the uncertainty of measuring inequality into account. In
            the Standardized World Income Inequality Dataset (Solt, 2016), the Gini coefficients and their
            associated uncertainty are represented by 100 separate imputations. While highly correlated,
            the estimates slightly differ. We used these imputations to reanalyze the relationship between
            inequality and voter turnout. The results confirm the general pattern.
               Finally, we inquire how strongly income inequality affects voter turnout. To do so, we plot the
            predicted level of turnout against the two measures of income inequality in Figure 3. The size of
            the effect of course differs according to the different models but even the most conservative esti-
            mate indicates that turnout in the most unequal country is about eight percentage points lower
            compared to the most egalitarian country. Some models even predict a difference of more than
            20 percentage points. Even with the conservative estimates, moving from the highest level of
            income inequality to the lowest has a similarly substantial effect on turnout as compulsory voting
            does. The effect of income inequality on political participation is, therefore, not only significant
            but also substantial.
               This section looked at 21 rich democracies over a 3-decade period. Even the most cautious
            reading of the previous analyses suggests that inequality affects voter turnout. We now turn to
            a single-country study to see whether similar results at the subnational level can be found.

            Regional inequality and turnout in Germany
            Our longitudinal single-country dataset includes information for 402 administrative districts at 6
            federal elections (1998, 2002, 2005, 2009, 2013, and 2017), that is, around 2,400 observations in
            total.11 Voter turnout is the share of valid votes of all eligible voters. Since Gini coefficients or
            similar measures for economic inequality are not available on the local level, we use as a measure
            of regional inequality the normalized difference of the average income at district level in relation to
            the national average in the same year.
               We are aware that this measure is not strictly comparable to the ones used so far, since it
            captures the relative position of a district within the overall structure of the economy at a given
               11
                  Some observations have been lost due to a redrawing of districts during the period.

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‘Don’t play if you can’t win’              403

                                         1998                                  2002                                  2005
                                90

                                80

                                70

                                60
                Voter turnout

                                50
                                         2009                                  2013                                  2017
                                90

                                80

                                70

                                60

                                50
                                     0   0.5               1    0               0.5               1    0               0.5              1
                                                    Normalized difference to national income

        Figure 4. Inequality and turnout in Germany from 1998 to 2017.
        Note: The horizontal axis shows the normalized difference of the average income at district level from the national average as a measure
        of income inequality. Higher values stand for higher levels of inequality. See Appendix 2 for data sources.

        time. The measure does not, therefore, register individual-level income inequality within a given
        district but rather regional disparities. Regional disparities in economic performance are found to
        be persistent and an important driver of unequal distribution of resources on the macro-level
        (OECD, 2005; Ansell and Gingrich, 2019). Regional disparities also play a key role in the fairness
        of inequality debate, specifically in the debate on circumstance-based vs. effect-based causes of
        inequalities (Peragine, 2004; Checchi and Peragine, 2005). We, therefore, consider it useful to
        analyze how disparities between local entities of a given polity affect turnout. One of the advan-
        tages of this measurement is that it considers the time trend in regional inequality (See Appendix 2
        for descriptive statistics and data sources). Our findings are robust when measuring inequality as
        the difference to the average income within each federal state or to the average income in East or
        West Germany.
           A first impression of the longitudinal relationship between interregional inequality and turnout
        in Germany is given in Figure 4. The figure shows turnout rates on district levels on the y-axis and
        inequality on the x-axis for each of the considered federal elections. Figure 4 also suggests that
        participatory and economic inequality – expressed as regional disparities – are clearly related
        in Germany.
           The analysis below examines the relationship in a multivariate perspective. We run a number of
        different models that control for the following: the average income in a district, the closeness of the
        electoral race, the size of the district in terms of population, and a dummy variable for Eastern
        Germany. The analyses confirm the findings from the time-series cross-sectional analyses:
        inequality exerts a consistently negative impact on voter turnout regardless of the exact model
        specification.12 The effect reaches significance on the conventional 95 percentage confidence level,
        the model that includes the LDV being the only exception. Again, given the stickiness of the
        dependent variable over time, this is not surprising. As to the control variables, they largely

           12
             The regression coefficients are reported in tables 3 and 4 of the supplementary file.

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404        Armin Schäfer and Hanna Schwander

            Figure 5. Coefficients from multivariate models on electoral turnout in Germany.
            Note: This left part of this figure shows the regression coefficients for six different regression models with 95% confidence intervals (see
            Appendix 2). On the right-hand side, we compare the effect of inequality on turnout over time, see Appendix 2 for more details.

            correspond to the theoretical expectation that turnout is higher where the electoral race is con-
            tested and takes place in more populous districts. In the case of Germany, this is because turnout
            tends to be higher in cities than in rural districts. As in the cross-country analysis, turnout is lower
            in richer entities again disconfirming the translation of the socioeconomic status argument to the
            macro-level. Finally, the analysis confirms that turnout is also lower in the Eastern part of
            Germany (Schäfer et al., 2016).
                We turn now to considering the longitudinal dynamics of the inequality–turnout relationship.
            The right of Figure 5 displays the coefficient for inequality for each election. Two points are note-
            worthy. First, regional disparities in economic prosperity depress turnout consistently in all
            elections under consideration. Second, the effect of interregional inequality on turnout seems
            to increase over time. This is interesting in the light of party development in Germany. In the
            time period under investigation, Germany witnessed the emergence of two new populist parties,
            first in 2005 Die. Linke as a reaction to the encompassing labor market reforms enacted by the
            red–green government (Schwander and Manow, 2017b), and then in 2013 the radical right popu-
            list Alternative for Germany (AfD) as a reaction to the euro and refugee crises (Franzmann, 2016;
            Schwander and Manow, 2017a). Despite several arguments in the literature that populist parties
            might increase turnout (Immerzeel and Pickup, 2015; Mudde and Rovira Kaltwasser, 2017), we
            cannot see any such effect here [see also Schwander et al. (2019) and Leininger and Meijers (2017)
            for similar findings].13
                To conclude, our within-country analyses show that economic inequality between regions
            translates into high levels of electoral inequality

            Who abstains? Combining surveys and macro-data
            Our analyses so far do not answer the question of who abstains when inequality rises. The rational
            abstention perspective is supported when differences across income groups in turnout are higher
            in more unequal countries. In this section, we analyze whether higher rates of inequality affect
            individual decisions to participate in electoral politics and, in addition, which income groups
            are most strongly influenced. We, therefore, combine macro-level data and surveys from
            21 countries over a period of almost three decades. The dependent variable is self-reported
            electoral participation in the last general election. We use Eurobarometer, ISSP, ESS, and
               13
                  A closer examination of this relationship is beyond the scope of this paper.

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‘Don’t play if you can’t win’                 405

        Figure 6. Income inequality and voter turnout of different income groups.
        Note: This figure plots self-reported turnout of five income quintiles at different levels of income inequality based on the Gini index (Solt,
        2016). Countries with compulsory voting are excluded.

        CSES surveys to include the largest number of years and countries as possible (see Appendix 3 for
        more information on the employed surveys and descriptive statistics). However, there are three
        limitations. First, surveys are not available for all years and some countries have participated more
        often than others (see Appendix 3). Second, combining various surveys reduces the number of
        explanatory variables we can use. For example, items that measure internal and external efficacy
        are not available in all surveys. The following analyses, therefore, use gender, age, union mem-
        bership, marital status, unemployment, education, and household income as explanatory variables
        at the micro-level. At the macro-level, we use the same set of explanatory variables that we used in
        the ‘Time-series cross-sectional analyses of 21 countries from 1980–2014’ section. Third, respond-
        ents overreport their electoral participation and, as a consequence, average reported turnout is
        substantially higher than actual turnout (see Selb and Munzert, 2013). If this is – in part –
        due to an underrepresentation of poorer citizens in surveys, the results probably underestimate
        the actual turnout difference. Our analyses are, therefore, a conservative estimate of the relation-
        ship between inequality and voting.
            In the first step, we look descriptively at turnout differences of income groups (quintiles) at
        different levels of income inequality. For Figure 6, we subdivide the country into five groups based
        on the Gini index (very low = 0.2–0.23; low = 0.24–0.27; medium = 0.28–0.31; high = 0.32–0.35; very
        high = 0.36–0.39). For each group, we display voter turnout for five income quintiles. Figure 6 shows
        a clear pattern: not only are average turnout rates lower in more unequal countries but the turnout
        differences are also more pronounced. This is a first indication that higher economic inequality
        increases political inequality.
            Multivariate analyses confirm this impression.14 At the micro-level, we find a curvilinear rela-
        tionship between age and voting, and a positive effect of union membership, marriage, and house-
        hold income on the individual decision to vote. In contrast, unemployed respondents vote less
        frequently. At the macro-level, the results corroborate those of the cross-sectional analyses. In
        line with the relative power thesis, we find a negative impact of income inequality on individual
        turnout. Fewer citizens vote in more unequal countries. These results are robust for the model
           14
             See the regression coefficients reported in table 5 of the supplementary file.

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406        Armin Schäfer and Hanna Schwander

            Figure 7. Coefficients from logistic regression models on individual turnout.
            Note: This figure shows the coefficients of five logistic regression models that explain individual voter turnout in 21 countries. See
            Appendix 3 for detailed results.

            Figure 8. The effect of income inequality on voting.
            Note: This figure is based on model 4 in Appendix 3, in which we interact respondents’ household income with income inequality at the
            country level. Macro-level variables are centered at their mean.

            specification and also hold true if we weight voters and nonvoters to correct for overreporting.15
            Figure 7 shows the logit coefficient of the Gini coefficient for the first four models from Table 5 of
            the online supplementary file. In all model specifications, there is a statistically significant negative
            effect of income inequality on voting.
                In the fifth model, we interact income with the Gini coefficient to examine whether inequality
            affects the political engagement of varying income groups differently. The interaction term is pos-
            itive and statistically significant, which means that voting differs more strongly between income
            groups in more unequal countries. The left of Figure 8 displays the predicted probability to vote
            for income quintiles across the range of income inequality. In the most egalitarian countries –
            Austria, Belgium, Denmark, and Sweden – all income groups participate at equally high rates.

               15
                 We also ran multilevel models to reflect the fact that observations within countries and survey years are not independent
            of each other. However, the results did not substantially change. Additional analyses are available from the authors.

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‘Don’t play if you can’t win’              407

        In more unequal countries such as Portugal, the United Kingdom, or the United States, turnout
        differences are more pronounced because the poor abstain more often. The right of Figure 8 shows
        the average marginal effect of individual income for different levels of inequality. The income
        coefficient grows larger as we move from egalitarian to unequal countries. The analysis of the
        survey data, therefore, confirms that inequality depresses turnout for all income groups – and
        the decrease is significantly stronger for the poorest citizens. Income inequality, we conclude,
        lowers overall turnout rates while rendering electoral participation more unequal.

        Conclusion
        Over the past three decades, income inequality has been rising in most rich democracies. Studies
        have sought to disentangle the way in which higher levels of inequality affect the democratic pro-
        cess. Of special interest is the nature of the relationship between economic inequality and political
        inequality, that is, how the unequal distribution of economic resources affects participation in the
        political process. However, studies devoted to this question have looked at different countries and
        different periods, used an array of methods, sometimes omitted crucial explanatory variables, and
        employed both aggregate and micro-data. Consequently, results have been inconclusive. In this
        article, we have made the most systematic effort yet to resolve the question of how political and
        economic inequality are related in rich democracies. Since the dynamics might differ between
        countries with different state capacities (Kasara and Suryanarayan, 2015), we have limited our
        study to a relatively uniform set of rich democracies and focused on the decades since 1980,
        in which world-wide income inequality has been declining but citizens in rich democracies have
        become more unequal. We have used three different datasets with the most recent data available
        and employed a variety of methodological approaches to deal with the panel structure of the data.
        We used aggregate-level data from 21 OECD countries for a 35-year period, local data from
        Germany for 1998–2017, and combined surveys from the same set of 21 countries for the
        mid-1980s to the mid-2010s.
           Across datasets and methods, we find a consistently negative effect of income inequality on
        turnout with mostly statistically significant coefficients that strengthen confidence in the findings.
        Moving from the most egalitarian to the most unequal countries depresses turnout – all else being
        equal – by 7 to 15 percentage points (depending on the exact model), which is comparable in
        magnitude to the effect of compulsory voting. Within Germany, where institutional variables
        do not differ, relatively deprived regions have significantly lower levels of turnout. Finally, we find
        that turnout declines for all income groups in unequal countries but particularly strongly for low-
        income groups. Our findings, therefore, unambiguously support the relative power approach – or
        rational abstention approach – that expects inequality to have a negative impact on political
        engagement. Our analyses show that in more unequal countries, fewer people turn out and vote.
        The idea that inequality mobilizes the poor to greater political activism because ‘more is at stake’
        clearly does not have any empirical grounding.
           This is a worrisome finding for the fight against inequality and poverty. In a feedback cycle
        between citizens’ participation and parties’ responsiveness to the concerns of their constituencies,
        those at the bottom of society rely on state intervention to alleviate their grievance, or at least to
        improve the situation of their children, in the form of social insurance programs to protect them
        from the vagaries of markets, redistribution of income to compensate for lower income, expansion
        of the public sector to provide employment and high-quality social services to improve life chan-
        ces of future generations (Esping-Andersen, 1990; Huber and Stephens, 2001). As part of a
        ‘democratic class struggle’ (Korpi, 1983) or ‘electoral socialism’ (Przeworski and Sprague,
        1986), parties organize disadvantaged social strata and enact public policies which reduce inequal-
        ity in both market and disposable income. Comparative political economy has shown time and
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408        Armin Schäfer and Hanna Schwander

            again that these state programs are effective in reducing economic inequality (Bradley et al., 2003;
            Kenworthy and Pontusson, 2005; Huber and Stephens, 2014). Yet, parties have an incentive to
            implement social protection policies only if disadvantaged citizens actually turn out to vote.
            Richer citizens, in contrast, have additional means of making their voices heard since they use
            a whole range of other ways to engage with politics, such as donating to campaigns, or joining
            interest groups. As a result, the concerns of the poorer segments of the society are of lesser concern
            to policy-makers, a prediction that the literature on the responsiveness of political systems
            confirms (Gilens, 2005; Hobolt and Klemmemsen, 2005; Bartels, 2008; Giger et al., 2012). In
            addition, preferences and interests of poor and rich diverge more strongly in unequal societies
            (Gilens, 2005; Gallego, 2015), which further depresses participation by lower income groups
            (Lijphart, 1990; Birch, 2009). This might give rise to a vicious cycle between economic marginali-
            zation, unequal voices, and little public effort to combat inequality.
                At the same time, we were unable to test the mechanisms reducing turnout rates of the poorer
            citizens since only a limited number of variables were available when we combined surveys from
            different sources and across time. This is unfortunate because the mechanisms by which inequality
            suppresses participation, particularly by the poor, are not fully understood. Insights from the
            social psychology literature (Jahoda, 1982; Rosenstone, 1982; Adman, 2008) and the insider–
            outsider debate (in particular Emmenegger et al. (2015), for a review see Schwander (2018))
            suggest, for example, political efficacy and feelings of misrepresentation to be at the heart of this
            fateful compound. This is a fruitful venue for further research. It also links to another missing
            piece in the jigsaw: the role of party competition as a potential remedy to this link, especially
            the rise of populist parties. While some work has been done on the effect of competition on
            the left for mobilizing the poor and the policy position of the main parties of the left
            (Anderson and Beramendi, 2012), there has so far been little effort to explore the link between
            inequality, political involvement, and the mobilization effort of populist parties. Our – cursory –
            results, based on the last federal elections in Germany, offer little consolation as populist parties do
            not appear to be able to break the vicious cycle between economic marginalization and electoral
            participation. Further systematic research is, however, warranted.
            Supplementary material. To view supplementary material for this article, please visit https://doi.org/10.1017/
            S1755773919000201

            Acknowledgments. An earlier version of the paper was presented at the workshop ‘Democratic participation, a broken
            promise?’, Villa Vigoni, Menaggio (I), 14–16 March 2017. We are grateful to the comments of the participants of the
            workshop.

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